WHEN MR. LOWE RETURN FROM HIS FISHING TRIP, HIS STUDENTS INQUIRED AS TO THE LENGTH OF HIS PRIZE CATCH.

MR. LOWE ANSWERED.
"THE HEAD MEASURED 9 INCHES."
"THE TAIL WAS AS LONG AS THE HEAD AND HALF THE BODY."
THE BODY WAS AS LONG AS THE HEAD AND TAIL." HOW LONG WAS MR. LOWE'S PRIZE FISH?

Do not use all caps. It is rude, like SHOUTING online, and also more difficult to read. Thank you.

H = 9
T = 9 + .5B
B = 9 + T

Substitute 9 + .5B for T in the last equation to solve for B. Put that value in the previous equation to find T.
Add H + B + T.

Is it 45

To find the length of Mr. Lowe's prize fish, let's break down the information provided:

1. "The head measured 9 inches."
This tells us that the length of the fish's head is 9 inches.

2. "The tail was as long as the head and half the body."
From this statement, we can infer that the length of the tail is equal to the length of the head plus half the length of the body.

3. "The body was as long as the head and tail."
This states that the length of the body is equal to the length of the head plus the length of the tail.

Given this information, let's calculate the length of the fish step by step:

Let's assign a variable to the length of the head:
Let h = length of the head (9 inches)

Using statement 2, we can determine the length of the tail:
tail = head + (1/2) * body
tail = 9 + (1/2) * body

Now, using statement 3, we can find the length of the body:
body = head + tail
body = 9 + tail
body = 9 + (9 + (1/2) * body)
body = 18 + (1/2) * body

To solve the equation, we'll multiply both sides by 2 to get rid of the fraction:
2 * body = 36 + body

Simplifying, we have:
body = 36

Now, substituting this value of the body into the tail equation from statement 2, we can find the tail length:
tail = 9 + (1/2) * 36
tail = 9 + 18
tail = 27

Finally, we can calculate the total length of the fish by adding the head, tail, and body:
total length = head + tail + body
total length = 9 + 27 + 36
total length = 72 inches

Therefore, the length of Mr. Lowe's prize fish is 72 inches.